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Finding the Fourth Proportional to 5,791.59, 7,997.00 and 5,349.33

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Solution

The fourth proportional to 5,791.59, 7,997.00 and 5,349.33 is: 7,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.59 : 7,997.00 = 5,349.33 : x
  2. Step 2: Convert to fraction form
    5,791.59/7,997.00 = 5,349.33/x
  3. Step 3: Cross multiply
    5,791.59x = 7,997.00 × 5,349.33
  4. Step 4: Simplify right side
    5,791.59x = 42,778,565.26
  5. Step 5: Solve for x
    x = 42,778,565.26/5,791.59
  6. Step 6: Final answer
    x = 7,386.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.